Question

A 4.00-Ω resistor, an 8.00-Ω resistor, and a 24.0-Ω resistor are connected together. (a) What is the maximum resistance that can be produced using all three resistors? (b) What is the minimum resistance that can be produced using all three resistors? (c) How would you connect these three resistors to obtain a resistance of 10.0 Ω? (d) How would you connect these three resistors to obtain a resistance of 8.00 Ω?

Draw a circuit diagram • Label all the circuit components • List knowns and unknowns

Write Kirchhoff’s laws for each loop and junction in the circuit • Use the fact that current is the same through all resistors in series and the potential difference is the same for all parallel resistors. • Solve equation(s) for the desired unknown • Substitute in the known values, including units, and calculate unknown value • Check units and assess if your answer is reasonable

Answer 1

(a) we three resistances in will get maximum resistance if we Conneet the series. The value value will be (4+8+20)2 = 362 minimum if we conneet (6) we will resistance get them in parallel. If R be the equivalent resistance, then- L $ 4+ 5+ 24 et3+1 24 10 24 R = 2.4 R? So, the minimum resistance will be 2.42. (C) If we want to obtain 10-2 resistance then we have to Connect the 22 and 242 resistors in parallel and then the 4-2 resistor in series with them. 812 4.2 Cum B 24-2 we (d) ff want to obtain 82 resistance then we have to connect the 42 and 82 resistors in series and the 24-2 resistor in parallel with them. 24-2 Im 82 und A 42